%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM677^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:20 AM UTC 2026 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM677^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:51:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.55 % SZS status Theorem % 0.38/0.55 % SZS output start Proof % 0.38/0.55 ( % 0.38/0.55 (declare-sort tptp.nat 0) % 0.38/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.38/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.38/0.55 (declare-const tptp.z tptp.nat) % 0.38/0.55 (declare-const tptp.u tptp.nat) % 0.38/0.55 (declare-const tptp.x tptp.nat) % 0.38/0.55 (declare-const tptp.y tptp.nat) % 0.38/0.55 (define @t1 () (_ (_ tptp.more tptp.z) tptp.u)) % 0.38/0.55 (define @t2 () (@var "Xu" tptp.nat)) % 0.38/0.55 (define @t3 () (@var "Xy" tptp.nat)) % 0.38/0.55 (define @t4 () (_ tptp.pl @t3)) % 0.38/0.55 (define @t5 () (_ @t4 @t2)) % 0.38/0.55 (define @t6 () (@var "Xz" tptp.nat)) % 0.38/0.55 (define @t7 () (@var "Xx" tptp.nat)) % 0.38/0.55 (define @t8 () (_ tptp.pl @t7)) % 0.38/0.55 (define @t9 () (_ @t8 @t6)) % 0.38/0.55 (define @t10 () (_ (_ tptp.more @t9) @t5)) % 0.38/0.55 (define @t11 () (_ (_ tptp.more @t6) @t2)) % 0.38/0.55 (define @t12 () (=> @t11 @t10)) % 0.38/0.55 (define @t13 () (= @t7 @t3)) % 0.38/0.55 (define @t14 () (@list @t7 @t3 @t6 @t2)) % 0.38/0.55 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.38/0.55 (define @t16 () (_ @t4 @t7)) % 0.38/0.55 (define @t17 () (_ @t8 @t3)) % 0.38/0.55 (define @t18 () (= @t17 @t16)) % 0.38/0.55 (define @t19 () (forall (@list @t7 @t3) @t18)) % 0.38/0.55 (define @t20 () (_ (_ tptp.pl tptp.u) tptp.y)) % 0.38/0.55 (define @t21 () (_ tptp.pl tptp.z)) % 0.38/0.55 (define @t22 () (not (_ (_ tptp.more (_ @t21 tptp.x)) @t20))) % 0.38/0.55 (define @t23 () (tptp.pl @t3 @t2)) % 0.38/0.55 (define @t24 () (tptp.more (tptp.pl @t3 @t6) @t23)) % 0.38/0.55 (define @t25 () (tptp.more @t6 @t2)) % 0.38/0.55 (define @t26 () (not @t25)) % 0.38/0.55 (define @t27 () (or @t26 @t24)) % 0.38/0.55 (define @t28 () (not (= @t3 @t3))) % 0.38/0.55 (define @t29 () (or @t28 @t26 @t24)) % 0.38/0.55 (define @t30 () (@list @t3 @t6 @t2)) % 0.38/0.55 (define @t31 () (tptp.pl @t7 @t6)) % 0.38/0.55 (define @t32 () (tptp.more @t31 @t23)) % 0.38/0.55 (define @t33 () (not @t13)) % 0.38/0.55 (define @t34 () (or @t33 @t33 @t26 @t32)) % 0.38/0.55 (define @t35 () (@list @t7)) % 0.38/0.55 (define @t36 () (or @t33 @t26 @t32)) % 0.38/0.55 (define @t37 () (forall @t35 @t36)) % 0.38/0.55 (define @t38 () (forall @t30 @t37)) % 0.38/0.55 (define @t39 () (forall (@list @t3 @t6 @t2 @t7) @t36)) % 0.38/0.55 (define @t40 () (not @t11)) % 0.38/0.55 (define @t41 () (or @t33 @t40 @t10)) % 0.38/0.55 (define @t42 () (_ @t21 tptp.y)) % 0.38/0.55 (define @t43 () (tptp.pl tptp.u tptp.y)) % 0.38/0.55 (define @t44 () (tptp.pl tptp.z tptp.y)) % 0.38/0.55 (define @t45 () (tptp.more @t44 @t43)) % 0.38/0.55 (define @t46 () (_ (_ tptp.more @t42) @t20)) % 0.38/0.55 (define @t47 () (tptp.pl @t3 @t7)) % 0.38/0.55 (define @t48 () (tptp.pl @t7 @t3)) % 0.38/0.55 (define @t49 () (tptp.more (tptp.pl tptp.y tptp.z) (tptp.pl tptp.y tptp.u))) % 0.38/0.55 (define @t50 () (tptp.more tptp.z tptp.u)) % 0.38/0.55 (define @t51 () (not @t50)) % 0.38/0.55 (define @t52 () (or @t51 @t49)) % 0.38/0.55 (define @t53 () (not @t52)) % 0.38/0.55 (define @t54 () (forall @t30 @t27)) % 0.38/0.55 (assume @p1 (= tptp.x tptp.y)) % 0.38/0.55 (assume @p2 @t1) % 0.38/0.55 (assume @p3 @t15) % 0.38/0.55 (assume @p4 @t19) % 0.38/0.55 (assume @p5 @t22) % 0.38/0.55 (assume @p6 true) % 0.38/0.55 (step @p7 :rule aci_norm :args ((= (or false @t26 @t24) @t27))) % 0.38/0.55 (step @p8 :rule refl :args (@t24)) % 0.38/0.55 (step @p9 :rule refl :args (@t26)) % 0.38/0.55 (step @p10 :rule evaluate :args ((not true))) % 0.38/0.55 (step @p11 :rule eq-refl :args (@t3)) % 0.38/0.55 (step @p12 :rule cong :premises (@p11) :args (@t28)) % 0.38/0.55 (step @p13 :rule trans :premises (@p12 @p10)) % 0.38/0.55 (step @p14 :rule nary_cong :premises (@p13 @p9 @p8) :args (@t29)) % 0.38/0.55 (step @p15 :rule trans :premises (@p14 @p7)) % 0.38/0.55 (step @p16 :rule cong :premises (@p15) :args ((forall @t30 @t29))) % 0.38/0.55 (step @p17 :rule quant-var-elim-eq :args ((= (forall @t35 @t34) @t29))) % 0.38/0.55 (step @p18 :rule aci_norm :args ((= @t36 @t34))) % 0.38/0.55 (step @p19 :rule cong :premises (@p18) :args (@t37)) % 0.38/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.38/0.55 (step @p21 :rule cong :premises (@p20) :args (@t38)) % 0.38/0.55 (step @p22 :rule quant-merge-prenex :args ((= @t38 @t39))) % 0.38/0.55 (step @p23 :rule symm :premises (@p22)) % 0.38/0.55 (step @p24 :rule quant_var_reordering :args ((= (forall @t14 @t36) @t39))) % 0.38/0.55 (step @p25 :rule trans :premises (@p24 @p23 @p21)) % 0.38/0.55 (step @p26 :rule trans :premises (@p25 @p16)) % 0.38/0.55 (step @p27 :rule refl :args ((tptp.more @t9 @t5))) % 0.38/0.55 (step @p28 :rule refl :args (@t23)) % 0.38/0.55 (step @p29 :rule refl :args (@t31)) % 0.38/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args (@t32)) % 0.38/0.55 (step @p31 :rule trans :premises (@p30 @p27)) % 0.38/0.55 (step @p32 :rule refl :args (tptp.more)) % 0.38/0.55 (step @p33 :rule ho_cong :premises (@p32 @p29)) % 0.38/0.55 (step @p34 :rule ho_cong :premises (@p33 @p28)) % 0.38/0.55 (step @p35 :rule cong :premises (@p34 @p31) :args ((= (_ (_ tptp.more @t31) @t23) @t32))) % 0.38/0.55 (step @p36 :rule symm :premises (@p35)) % 0.38/0.55 (step @p37 :rule refl :args (@t10)) % 0.38/0.55 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.38/0.55 (step @p39 :rule refl :args (@t5)) % 0.38/0.55 (step @p40 :rule cong :premises (@p39 @p28) :args ((= @t5 @t23))) % 0.38/0.55 (step @p41 :rule symm :premises (@p40)) % 0.38/0.55 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.38/0.55 (step @p43 :rule refl :args (@t9)) % 0.38/0.55 (step @p44 :rule cong :premises (@p43 @p29) :args ((= @t9 @t31))) % 0.38/0.55 (step @p45 :rule symm :premises (@p44)) % 0.38/0.55 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.55 (step @p47 :rule ho_cong :premises (@p32 @p46)) % 0.38/0.55 (step @p48 :rule ho_cong :premises (@p47 @p42)) % 0.38/0.55 (step @p49 :rule trans :premises (@p48 @p38)) % 0.38/0.55 (step @p50 :rule refl :args (@t25)) % 0.38/0.55 (step @p51 :rule refl :args (@t11)) % 0.38/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t11 @t25))) % 0.38/0.55 (step @p53 :rule symm :premises (@p52)) % 0.38/0.55 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.38/0.55 (step @p55 :rule cong :premises (@p54) :args (@t40)) % 0.38/0.55 (step @p56 :rule refl :args (@t33)) % 0.38/0.55 (step @p57 :rule nary_cong :premises (@p56 @p55 @p49) :args (@t41)) % 0.38/0.55 (step @p58 :rule cong :premises (@p57) :args ((forall @t14 @t41))) % 0.38/0.55 (step @p59 :rule trans :premises (@p58 @p26)) % 0.38/0.55 (step @p60 :rule aci_norm :args ((= (or @t33 (or @t40 @t10)) @t41))) % 0.38/0.55 (step @p61 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.55 (step @p62 :rule nary_cong :premises (@p56 @p61) :args ((or @t33 @t12))) % 0.38/0.55 (step @p63 :rule trans :premises (@p62 @p60)) % 0.38/0.55 (step @p64 :rule bool-impl-elim :args (@t13 @t12)) % 0.38/0.55 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.55 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.38/0.55 (step @p67 :rule trans :premises (@p66 @p59)) % 0.38/0.55 (step @p68 :rule eq_resolve :premises (@p3 @p67)) % 0.38/0.55 (step @p69 :rule refl :args ((tptp.more @t42 @t20))) % 0.38/0.55 (step @p70 :rule refl :args (@t43)) % 0.38/0.55 (step @p71 :rule refl :args (@t44)) % 0.38/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t45)) % 0.38/0.55 (step @p73 :rule trans :premises (@p72 @p69)) % 0.38/0.55 (step @p74 :rule ho_cong :premises (@p32 @p71)) % 0.38/0.55 (step @p75 :rule ho_cong :premises (@p74 @p70)) % 0.38/0.55 (step @p76 :rule cong :premises (@p75 @p73) :args ((= (_ (_ tptp.more @t44) @t43) @t45))) % 0.38/0.55 (step @p77 :rule symm :premises (@p76)) % 0.38/0.55 (step @p78 :rule refl :args (@t46)) % 0.38/0.55 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.55 (step @p80 :rule refl :args (@t20)) % 0.38/0.55 (step @p81 :rule cong :premises (@p80 @p70) :args ((= @t20 @t43))) % 0.38/0.55 (step @p82 :rule symm :premises (@p81)) % 0.38/0.55 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.38/0.55 (step @p84 :rule refl :args (@t42)) % 0.38/0.55 (step @p85 :rule cong :premises (@p84 @p71) :args ((= @t42 @t44))) % 0.38/0.55 (step @p86 :rule symm :premises (@p85)) % 0.38/0.55 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.38/0.55 (step @p88 :rule refl :args (tptp.more)) % 0.38/0.55 (step @p89 :rule ho_cong :premises (@p88 @p87)) % 0.38/0.55 (step @p90 :rule ho_cong :premises (@p89 @p83)) % 0.38/0.55 (step @p91 :rule trans :premises (@p90 @p79)) % 0.38/0.55 (step @p92 :rule cong :premises (@p91) :args ((not @t46))) % 0.38/0.55 (step @p93 :rule refl :args (@t20)) % 0.38/0.55 (step @p94 :rule refl :args (@t21)) % 0.38/0.55 (step @p95 :rule ho_cong :premises (@p94 @p1)) % 0.38/0.55 (step @p96 :rule ho_cong :premises (@p88 @p95)) % 0.38/0.55 (step @p97 :rule ho_cong :premises (@p96 @p93)) % 0.38/0.55 (step @p98 :rule cong :premises (@p97) :args (@t22)) % 0.38/0.55 (step @p99 :rule trans :premises (@p98 @p92)) % 0.38/0.55 (step @p100 :rule eq_resolve :premises (@p5 @p99)) % 0.38/0.55 (step @p101 :rule false_intro :premises (@p100)) % 0.38/0.55 (step @p102 :rule refl :args (@t47)) % 0.38/0.55 (step @p103 :rule refl :args (@t16)) % 0.38/0.55 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t16 @t47))) % 0.38/0.55 (step @p105 :rule symm :premises (@p104)) % 0.38/0.55 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.38/0.55 (step @p107 :rule refl :args (@t48)) % 0.38/0.55 (step @p108 :rule refl :args (@t17)) % 0.38/0.55 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t17 @t48))) % 0.38/0.55 (step @p110 :rule symm :premises (@p109)) % 0.38/0.55 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.38/0.55 (step @p112 :rule cong :premises (@p111 @p106) :args (@t18)) % 0.38/0.55 (step @p113 :rule cong :premises (@p112) :args (@t19)) % 0.38/0.55 (step @p114 :rule eq_resolve :premises (@p4 @p113)) % 0.38/0.55 (step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.u tptp.y))) % 0.38/0.55 (step @p116 :rule symm :premises (@p115)) % 0.38/0.55 (step @p117 :rule instantiate :premises (@p114) :args ((@list tptp.z tptp.y))) % 0.38/0.55 (step @p118 :rule symm :premises (@p117)) % 0.38/0.56 (step @p119 :rule cong :premises (@p118 @p116) :args (@t49)) % 0.38/0.56 (step @p120 :rule trans :premises (@p119 @p101)) % 0.38/0.56 (step @p121 :rule false_elim :premises (@p120)) % 0.38/0.56 (step @p122 :rule refl :args (@t50)) % 0.38/0.56 (step @p123 :rule refl :args (@t1)) % 0.38/0.56 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t1 @t50))) % 0.38/0.56 (step @p125 :rule symm :premises (@p124)) % 0.38/0.56 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.38/0.56 (step @p127 :rule eq_resolve :premises (@p2 @p126)) % 0.38/0.56 (step @p128 :rule cnf_or_pos :args (@t52)) % 0.38/0.56 (step @p129 :rule reordering :premises (@p128) :args ((or @t51 @t49 @t53))) % 0.38/0.56 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p121) :args (@t53 (@list false true) (@list @t50 @t49))) % 0.38/0.56 (assume-push @p137 @t54) % 0.38/0.56 (step @p132 :rule instantiate :premises (@p68) :args ((@list tptp.y tptp.z tptp.u))) % 0.38/0.56 (step-pop @p138 :rule scope :premises (@p132)) % 0.38/0.56 (step @p133 :rule process_scope :premises (@p138) :args (@t52)) % 0.38/0.56 (step @p135 :rule implies_elim :premises (@p133)) % 0.38/0.56 (step @p136 false :rule chain_m_resolution :premises (@p135 @p130 @p68) :args (false (@list true false) (@list @t52 @t54))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------